Second order differential equation

1. The problem statement, all variables and given/known data

http://ift.tt/1fb50Hh

2. Relevant equations

All in the link.

3. The attempt at a solution

The solution is there, its to do with part (c), I would realy appreciate it if someone would explain how they make the jumps – especially to the second last equation

http://ift.tt/1fb50Xx

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